Existence of sweeping process in Banach spaces under directional prox-regularity

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dc.creatorBernicot, Frederic
dc.creatorVenel, Juliette
dc.date2008-12-26
dc.date2009-03-09
dc.date.accessioned2026-07-07T12:49:47Z
dc.date.available2026-07-07T12:49:47Z
dc.descriptionThis paper is devoted to weaken "classical" assumptions and give new arguments to prove existence of sweeping process (associated to the proximal normal cone of sets). Mainly we define the concept of a "directional prox-regularity" and give assumptions about a Banach space to insure the existence of such sweeping process (which permit to generalize the existing results requiring a Hilbertian structure).
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/0812.4673
dc.identifierhttp://arxiv.org/abs/0812.4673
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222493
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject34A60, 49J52, 58C20.
dc.titleExistence of sweeping process in Banach spaces under directional prox-regularity
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